r = 0.49

Question

r = 0.49

BlackTom AI · Accepted Answer

The given value r = 0.49 represents a correlation coefficient between two variables. 
Option 4: If 4 were intended to denote a category like 'very strong' or 'high', 0.49 is not in the very high range; it does not indicate a strong relationship, so this option is not appropriate. 
Option 2: A correlation around 0.49 typically falls into a 'moderate' positive range, indicating a noticeable but not strong linear relationship between the variables. This aligns with common interpretations where |r| values around 0.3 to 0.7 are described as moderate. Therefore, this option correctly characterizes the strength of the relationship. 
Option 1: If 1 were meant to denote 'weak' or 'low', 0.49 is arguably stronger than a typical weak classification, so labeling it as weak would mischaracterize the strength. 
Option 3: If 3 were intended to indicate 'none/zero' or a non-existent relationship, 0.49 clearly shows a positive association, so this option is inaccurate. 
In summary, among the possible interpretations of the number labels, 0.49 corresponds best to a moderate positive relationship, which is why option 2 is appropriate.

FA25_QTM_100_3 8.8: Match the correlation, Part II.

r = 0.49

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